A ladder which is 17m long is leaning against a wall the foot of thr ladder is 8m away - Maths - The Triangle and its Properties

Question

A ladder which is 17m long is leaning against a wall the foot of
thr ladder is 8m away from the wall what is the height upto which
the ladder reaches the wall? write the answer with steps

Manbar Singh · Accepted Answer

Let AC be the ladder and AB be the wall
Now, AC = 17 mBC = 8 mIn ∆ABC,AC2 = AB2 + BC2    Pythagoras Theorem⇒172 = AB2 + 82⇒289 =  AB2 + 64⇒ AB2= 289 - 64⇒ AB2= 225⇒AB = 15 m

So, the ladder will reach upto the height of 15 m on the wall

A ladder which is 17m long is leaning against a wall. the foot of thr ladder is 8m away from the wall. what is the height upto which the ladder reaches the wall? write the answer with steps.